A company manufactures a product used in the computer industry. The unit price, p (in thousands of dollars), and the demand x (in hundreds of units), are related by the equation: 6400 (p > 0) The cost, C (in thousands of dollars), of producing the item is given by C(x) = &x + 50 (x> 0) Determine: a) The demand level, x, for which the profit is maximized; b) The unit price, p, for which the profit is maximized; c) The maximum profit.

A company manufactures a product used in the computer industry. The unit price, p (in thousands of dollars), and the demand x (in hundreds of units), are related by the equation: 6400 (p > 0) The cost, C (in thousands of dollars), of producing the item is given by C(x) = &x + 50 (x> 0) Determine: a) The demand level, x, for which the profit is maximized; b) The unit price, p, for which the profit is maximized; c) The maximum profit.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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